arXiv subjects
Publications and source records attributed to Leandro G. Fernandes Jr..
Our aim in this paper is to study principal eigenvalues, maximum principles and estimates for Lane-Endem related systems in nondivergence form.
We establish a global boundedness result for Lane-Emden systems involving general second-order elliptic operators in divergence form and arbitrary positive exponents whose product equals one. Furthermore, we observe that, for this class of systems -- and for certain operators in divergence form, including the case when both operators are the Laplacian -- it is not possible to recover the classical Stampacchia maximum principle as a particular case corresponding to single equations.